Trustworthy Systems

Showing invariance compositionally for a process algebra for network protocols


Timothy Bourke, Rob van Glabbeek and Peter Hoefner


Ecole normale supérieure




This paper presents the mechanization of a process algebra for Mobile Ad hoc Networks and Wireless Mesh Networks, and the development of a compositional framework for proving invariant properties. Mechanizing the core process algebra in Isabelle/HOL is relatively standard, but its layered structure necessitates special treatment. The control states of reactive processes, such as nodes in a network, are modelled by terms of the process algebra. We propose a technique based on these terms to streamline proofs of inductive invariance. This is not sufficient, however, to state and prove invariants that relate states across multiple processes (entire networks). To this end, we propose a novel compositional technique for lifting global invariants stated at the level of individual nodes to networks of nodes.

BibTeX Entry

    address          = {Vienna, Austria},
    author           = {Bourke, Timothy and van Glabbeek, Robert and H\"ofner, Peter},
    booktitle        = {International Conference on Interactive Theorem Proving},
    editor           = {{G. Klein and R. Gamboa}},
    keywords         = {isabelle/hol, process algebra, reactive systems, invariance proofs, network protocols},
    month            = jul,
    pages            = {44--59},
    paperurl         = {},
    publisher        = {Springer},
    title            = {Showing invariance compositionally for a process algebra for network protocols},
    year             = {2014}